9th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 9th Grade quadratics worksheet.
9th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Practice Set 3 — Answers
Factor, then use the zero product property.
1.Solve: 2x2 + 3x + 1 = 0
Answer: x = − or x = −1
- Factor: (2x + 1)(x + 1) = 0
- 2x + 1 = 0 gives x = −
- x + 1 = 0 gives x = −1
2.Solve: 2x2 − 12x + 16 = 0
Answer: x = 2 or x = 4
- Factor: (2x − 4)(x − 4) = 0
- 2x − 4 = 0 gives x = 2
- x − 4 = 0 gives x = 4
3.Solve: 3x2 − 11x − 4 = 0
Answer: x = − or x = 4
- Factor: (3x + 1)(x − 4) = 0
- 3x + 1 = 0 gives x = −
- x − 4 = 0 gives x = 4
4.Solve: 2x2 + x − 1 = 0
Answer: x = or x = −1
- Factor: (2x − 1)(x + 1) = 0
- 2x − 1 = 0 gives x =
- x + 1 = 0 gives x = −1
5.Solve: 2x2 + 9x + 4 = 0
Answer: x = − or x = −4
- Factor: (2x + 1)(x + 4) = 0
- 2x + 1 = 0 gives x = −
- x + 4 = 0 gives x = −4
6.Solve: 2x2 − 14x + 24 = 0
Answer: x = 4 or x = 3
- Factor: (2x − 8)(x − 3) = 0
- 2x − 8 = 0 gives x = 4
- x − 3 = 0 gives x = 3
7.Solve: 2x2 + 15x + 28 = 0
Answer: x = − or x = −4
- Factor: (2x + 7)(x + 4) = 0
- 2x + 7 = 0 gives x = −
- x + 4 = 0 gives x = −4
8.Solve: 3x2 − 17x + 20 = 0
Answer: x = or x = 4
- Factor: (3x − 5)(x − 4) = 0
- 3x − 5 = 0 gives x =
- x − 4 = 0 gives x = 4
9.Solve: 2x2 − 4x − 16 = 0
Answer: x = -2 or x = 4
- Factor: (2x + 4)(x − 4) = 0
- 2x + 4 = 0 gives x = -2
- x − 4 = 0 gives x = 4
10.Solve: 2x2 − 21x + 40 = 0
Answer: x = or x = 8
- Factor: (2x − 5)(x − 8) = 0
- 2x − 5 = 0 gives x =
- x − 8 = 0 gives x = 8
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
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